Hostname: page-component-76fb5796d-vvkck Total loading time: 0 Render date: 2024-04-26T12:10:49.250Z Has data issue: false hasContentIssue false
  • English
  • Français

Kelvin-wave diffraction by a gap

Published online by Cambridge University Press:  09 April 2009

V. T. Buchwald  and
J. W. Miles
V. T. Buchwald
Affiliation:
University of New South WalesKensington, N. S. W. 2033, Australia.
J. W. Miles
Affiliation:
University of CaliforniaLa Jolla, California 9203 U. S. A.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The problem of diffraction of a Kelvin wave by a narrow opening in a barrier separating two semi-infinite sheets of water is formulated as an integral equation. An approximate solution is obtained on the hypothesis that the gap is small compared with the length of the incident wave. The scattered disturbance comprises both Kelvin and Poincaré waves, and asymptotic formulate for their amplitudes are obtained. The results, which are relevant to tidal diffraction by a strait, reveal that the phase shift in the diffracted Kelvin wave is much larger than the corresponding shift induced by either a narrow channel or an inland sea opening into a semi-infinite ocean.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 17 , Issue 1 , February 1974 , pp. 29 - 34
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Buchwald, V. T., ‘The diffraction of Kelvin waves at a corner’, J. Fluid Mech. 31 (1968), 193–205.Google Scholar
[2]Buchwald, V. T., ‘The diffraction of tides by a narrow channel’, J. Fluid. Mech. 46 (1971), 501–511.CrossRefGoogle Scholar
[3]Crease, J., ‘Long waves on a rotating earth in the presence of a semi-infinite barrier’, J. Fluid Mech. 1 (1956), 86–96.CrossRefGoogle Scholar
[4]Lamb, H., Hydrodynamics (Cambridge University Press, 1932).Google Scholar
[5]Miles, J. W., ‘A note on tidal delay by inland seas and harbors’, Geophys. Fluid Dyn. 3 (1971), 27–34.Google Scholar
[6]Munk, W., Snodgrass, F., & Wimbush, M., ‘Tides offshore: transition from California coast to deep-sea waters’, Geophys. Fluid Dyn. 1 (1970), 161–235.Google Scholar
[7]Packham, B. A. and Williams, W. E., ‘Diffraction of Kelvin waves at a sharp bend’, J. Fluid Mech. 34 (1968), 517–529.CrossRefGoogle Scholar